File:Bird foldl promotion.pdf
Original file (1,002 × 470 pixels, file size: 29 KB, MIME type: application/pdf)
Captions
Summary
[edit]DescriptionBird foldl promotion.pdf |
English: Computation example for the foldl promotion law from Bird.1989, p.123 lf. Our example uses integer numbers with binary addition (""), of which only its associativity and its left-neutral element ("") is used. |
Date | |
Source | Own work |
Author | Jochen Burghardt |
Other versions | File:Bird foldl promotion.pdf — File:Bird foldl promotion svg.svg |
(General explanations applying to all similar images, including the LaTeX source code of the used file "bird_Preamble.tex" can be found at the description page of File:Bird foldl map fusion.pdf.)
LaTeX source code
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\documentclass[12pt]{article}
\setlength{\unitlength}{1mm}
\usepackage[pdftex]{color}
\usepackage{amssymb}
\usepackage[paperwidth=170mm,paperheight=80mm]{geometry}
\setlength{\topmargin}{-36mm}
\setlength{\textwidth}{170mm}
\setlength{\textheight}{80mm}
\setlength{\oddsidemargin}{-23mm}
\setlength{\parindent}{0cm}
\pagestyle{empty}
\include{bird_Preamble}
\begin{document}
\begin{picture}(165,75)
%\put(0,0){\makebox(0,0){$+$}}
%\put(165,75){\makebox(0,0){$+$}}
%
\put(65.000,65.000){\makebox(0.000,0.000)[b]{{$\List{\List{4\,5\,6}\,\List{7\,8}\,\Nil\,\List{9}}$}}}%
\put(15.000,35.000){\makebox(0.000,0.000)[b]{{$\List{4\,5\,6\,7\,8\,9}$}}}%
\put(115.000,35.000){\makebox(0.000,0.000)[b]{{$\List{((0\+4)\+5)\+6\,(0\+7)\+8\,0\,0\+9}$}}}%
\put(60.000,5.000){\makebox(0.000,0.000)[br]{{$\A{(((((0\+\B{4})\+\B{5})\+\B{6})\+\B{7})\+\B{8})\+\B{9}}$}}}%
\put(70.000,5.000){\makebox(0.000,0.000)[bl]{{$\A{((( 0 + \B{(((0\+4)\+5)\+6)} )+ \B{((0\+7)\+8)} )+ \B{0})+ \B{(0\+9)} }$}}}%
\textcolor{cFct}{\put(65,6){\makebox(0.000,0.000)[b]{$\mathbf{=}$}}}%
%
\thicklines
%
\textcolor{cFct}{\put(60.000,62.000){\vector(-2,-1){40.000}}}%
\textcolor{cFct}{\put(39.000,52.000){\makebox(0.000,0.000)[br]{$\concat$}}}%
%
\textcolor{cFct}{\put(70.000,62.000){\vector(2,-1){40.000}}}%
\textcolor{cFct}{\put(91.000,52.000){\makebox(0.000,0.000)[bl]{$\map \; (\foldl \; (+) \; 0)$}}}%
%
\textcolor{cFct}{\put(110.000,32.000){\vector(-1,-1){20.000}}}%
\textcolor{cFct}{\put(101.000,22.000){\makebox(0.000,0.000)[tl]{$\foldl \; (+) \; 0$}}}%
%
\textcolor{cFct}{\put(20.000,32.000){\vector(1,-1){20.000}}}%
\textcolor{cFct}{\put(29.000,22.000){\makebox(0.000,0.000)[tr]{$\foldl \; (+) \; 0$}}}%
\end{picture}
\end{document}
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Licensing
[edit]- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 13:54, 25 September 2019 | 1,002 × 470 (29 KB) | Jochen Burghardt (talk | contribs) | User created page with UploadWizard |
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File usage on Commons
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Metadata
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Software used | TeX |
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Conversion program | pdfTeX-1.40.18 |
Encrypted | no |
Page size | 481.89 x 226.772 pts |
Version of PDF format | 1.5 |